Stability, Bifurcation and Postcritical Behaviour of Elastic Structures

✍ Scribed by M. Pignataro, N. Rizzi and A. Luongo (Auth.)

Publisher: Elsevier Science Ltd
Year: 1991
Tongue: English
Leaves: 362
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

A comprehensive and systematic analysis of elastic structural stability is presented in this volume. Traditional engineering buckling concepts are discussed in the framework of the Liapunov theory of stability by giving an extensive review of the Koiter approach. The perturbation method for both nonlinear algebraic and differential equations is discussed and adopted as the main tool for postbuckling analysis. The formulation of the buckling problem for the most common engineering structures - rods and frames, plates, shells, and thin-walled beams, is performed and the critical load evaluated for problems of interest. In many cases the postbuckling analysis up to the second order is presented. The use of the Ritz-Galerkin and of the finite element methods is examined as a tool for approximate bifurcation analysis. The volume will provide an up-to-date introduction for non-specialists in elastic stability theory and methods, and is intended for graduate and post-graduate students and researchers interested in nonlinear structural analysis problems

✦ Table of Contents

Content:
Developments in Civil Engineering, Page ii
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
PREFACE, Pages vii-viii
ACKNOWLEDGEMENTS, Page viii
INTRODUCTION, Pages ix-xi
Chapter 1 - THE LIAPUNOV THEORY OF EQUILIBRIUM STABILITY, Pages 1-25
Chapter 2 - THE STABILITY OF EQUILIBRIUM AND POST-BUCKLING BEHAVIOUR OF DISCRETE MECHANICAL SYSTEMS, Pages 27-73
Chapter 3 - ANALYSIS OF BIFURCATION FOR DISCRETE SYSTEMS. CHARACTERISATION OF THE POINTS OF AN EQUILIBRIUM PATH FROM EXAMINATION OF LOCAL PROPERTIES, Pages 75-122
Chapter 4 - STABILITY OF EQUILIBRIUM AND POST-CRITICAL BEHAVIOUR OF CONTINUOUS SYSTEMS, Pages 123-142
Chapter 5 - ANALYSIS OF BEAMS AND PLANE FRAMES, Pages 143-215
Chapter 6 - THIN-WALLED BEAMS WITH OPEN CROSS-SECTION, Pages 217-273
Chapter 7 - ANALYSIS OF PLATES AND SHELLS, Pages 275-338
Appendix - THE CALCULUS OF VARIATIONS, Pages 339-351
Name Index, Page 353
Index, Pages 355-358

📜 SIMILAR VOLUMES

Stability and Bifurcation of Structures:

📁 Stability and Bifurcation of Structures: Statical and Dynamical Systems

✍ Angelo Luongo, Manuel Ferretti, Simona Di Nino 📂 Library 📅 2023 🏛 Springer 🌐 English

<p><span>This book overcomes the separation existing in literature between the static and the dynamic bifurcation worlds. It brings together buckling and post-buckling problems with nonlinear dynamics, the bridge being represented by the perturbation method, i.e., a mathematical tool that allows for

Stability and Bifurcation of Structures:

📁 Stability and Bifurcation of Structures: Statical and Dynamical Systems

✍ Angelo Luongo; Manuel Ferretti; Simona Di Nino 📂 Library 📅 2023 🏛 Springer Nature 🌐 English

This book overcomes the separation existing in literature between the static and the dynamic bifurcation worlds. It brings together buckling and post-buckling problems with nonlinear dynamics, the bridge being represented by the perturbation method, i.e., a mathematical tool that allows for solving

Stability of Elastic Structures

📁 Stability of Elastic Structures

✍ N. A. Alfutov (auth.) 📂 Library 📅 2000 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

<p>The subject discussed in this book is the stability of thin-walled elastic systems under static loads. The presentation of theses problems is based on modern approaches to elastic-stability theory. Special attention is paid to the formulation of elastic-stability criteria, to the statement of col

Stability of Elastic Structures

📁 Stability of Elastic Structures

✍ H. Leipholz (eds.) 📂 Library 📅 1978 🏛 Springer-Verlag Wien 🌐 English

Sustainable Masonry: Stability and Behav

📁 Sustainable Masonry: Stability and Behavior of Structures

✍ Thierry Ciblac, Jean-Claude Morel 📂 Library 📅 2014 🏛 Wiley-ISTE 🌐 English

This book covers the impact of sustainable masonry on the environment, touting the many benefits of utilizing local and/or low embodied energy materials in the construction of sustainable buildings.

Bifurcation and Stability of Dissipative

📁 Bifurcation and Stability of Dissipative Systems

✍ Q. S. Nguyen (eds.) 📂 Library 📅 1993 🏛 Springer-Verlag Wien 🌐 English

<p>The first theme concerns the plastic buckling of structures in the spirit of Hill’s classical approach. Non-bifurcation and stability criteria are introduced and post-bifurcation analysis performed by asymptotic development method in relation with Hutchinson’s work. Some recent results on the gen